2. An engineering student samples the wall pressure exerted by a steady-state ow

Question

2. An engineering student samples the wall pressure exerted by a steady-state ow through a pipe 1233 times using an analog-to-digital con-verter. Using the recommendations made in this chapter, how manyequal-interval bins should the student use to create a histogram of themeasurements? Respond to the nearest whole bin. Copyright | Taylor & Francis | Measurement and Data Analysis for Engineering and Science | Edition 3

Here's a figure that might help, Hope it helps! :)

Interval Type Formula Reference ual-probability 1.STON-100 SA6 0.40 101, 13 Equal-probability Equal-width 3.322 log 10 N 111, [121 Equal-width TABLE 11.1 Formulas for the number of histogram intervals with 95% confidence.

Explanation / Answer

Substitute N = 1233 in each of the formulas

Equal Probability 1 = 1.87(1233 -1).4

                                    = 1.87*1232.4 = 32.22 or ~ 32 bins

Equal Prob 2 = Sqrt(N) = Sqrt(1233) = 35.11 or 35 bins

Equal-Width 1 = 3.322log 1233 = 10.27 = 10 bins

Equal-Width 2 = 1.15*12331/3 = 12.33 or 12 bins

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